85767760 has 40 divisors (see below), whose sum is σ = 214751880. Its totient is φ = 31667712.

The previous prime is 85767751. The next prime is 85767811. The reversal of 85767760 is 6776758.

It can be written as a sum of positive squares in 4 ways, for example, as 18593344 + 67174416 = 4312^2 + 8196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×85767760² = 14712217310835200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85767760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40195 + ... + 42274.

It is an arithmetic number, because the mean of its divisors is an integer number (5368797).

Almost surely, 2^85767760 is an apocalyptic number.

85767760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85767760 is an abundant number, since it is smaller than the sum of its proper divisors (128984120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85767760 is a wasteful number, since it uses less digits than its factorization.

85767760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82495 (or 82489 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The square root of 85767760 is about 9261.0884889412. The cubic root of 85767760 is about 441.0028091683.

It can be divided in two parts, 85 and 767760, that multiplied together give a triangular number (65259600 = T₁₁₄₂₄).

The spelling of 85767760 in words is "eighty-five million, seven hundred sixty-seven thousand, seven hundred sixty".